TYPE 1 Fredholm integral equation with example

The Fredholm integral equation is an integral equation whose solution gives rise to Fredholm theory, the study of Fredholm kernels and Fredholm operators.

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The standard form of Fredholm linear integral equations, where the limits of integration
a and b are constants, are given by the form as in mention in video
where the kernel of the integral equation K(x, t) and the function f(x) are given in
advance, and λ is a parameter. The equation (7) is called linear because the unknown
function u(x) under the integral sign occurs linearly, i.e. the power of u(x) is one.
The value of (x) will give the following kinds of Fredholm linear integral equations:
When phi(x)=0 it is first kind
when phi(x)=1 , it is of second kind

In summary, the Fredholm integral equation is of the first kind if the unknown function
u(x) appears only under the integral sign. However, the Fredholm integral equation is of
the second kind if the unknown function u(x) appears inside and outside the integral
sign

Fredholm integral equation
What is fredholm integral equation in hindi
What is fredholm integral equation in urdu
definition of fredholm integral equation
integral equation
Fredholm integral equation of two types
Fredholm integral equation of first kind
Fredholm integral equation of second kind
Fredholm integral equation exmples
Examples of Fredholm integral equation
two types of fredholm integral equation
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